201. Найдите корень уравнения: 1) 3(x − 2) = x + 2; 2) 5 − 2(x − 1) = 4 − x; 3) (7x + 1) − (9x + 3) = 5; 4) 3,4 + 2,3y = 7(y − 2,3); 5) 0,27 − (2 − y) = 2,3 − 0,3(y − 6); 6) \(\frac{2}{3}(\frac{1}{3}x − \frac{1}{2}) = 4x + 2\frac{1}{2}\).

1. \(3(x-2)=x+2\)
   \(3x-6=x+2\)
   \(2x=8\)
   \(x=4\).
2. \(5-2(x-1)=4-x\)
   \(5-2x+2=4-x\)
   \(3=x\)
   \(x=3\).
3. \((7x+1)-(9x+3)=5\)
   \(7x+1-9x-3=5\)
   \(-2x-2=5\)
   \(-2x=7\)
   \(x=-3,5\).
4. \(3.4+2.3y=7(y-2.3)\)
   \(3.4+2.3y=7y-16.1\)
   \(19.5=4.7y\)
   \(y=\frac{195}{47}\).
5. \(0.27-(2-y)=2.3-0.3(y-6)\)
   \(y-1.73=4.1-0.3y\)
   \(1.3y=5.83\)
   \(y=\frac{583}{130}=4.484615\ldots\).
6. \(\frac{2}{3}(\frac{1}{3}x-\frac{1}{2})=4x+2\frac{1}{2}\)
   Умножим на 6:
   \(2(\frac{x}{3}-\frac{1}{2})=24x+15\)
   \(\frac{2x}{3}-1=24x+15\)
   \(-16=\frac{70x}{3}\)
   \(x=-\frac{24}{35}\).

Ответ: 1) \(x=4\); 2) \(x=3\); 3) \(x=-3,5\); 4) \(y=\frac{195}{47}\); 5) \(y=\frac{583}{130}\); 6) \(x=-\frac{24}{35}\).